2 ft
4 ft
6 ft
What is the volume of the figure

Answer:

3x square + 5 is your answer

By using multiplication and division, it can be calculated that-

The multiple according to the number 3 = 162

The submultiple according to the number 7 = 7

What is multiplication and division?

Repeated addition is called multiplication. Multiplication is used to find the product of two or more numbers.

Division is the process in which a value of single unit can be calculated from the value of multiple unit.

The number to be divided is called dividend. The  number by which dividend is divided is the divisor. The result obtained is called quotient and the remaining part is the remainder.

This is a problem of multiplication and division.

One segment measures 161 cm

So, to find the multiple according to the number 3, we have to divide 161 by 3

161 \(\div\) 3 = 53.67

Nearest integer of 53.67 is 54

The multiple according to the number 3 = 54 \(\times\) 3 = 162

To find the submultiple according to the number 7, we have to divide 161 by 7

161 \(\div\) 7 = 23

Nearest integer of 23 is 23

The submultiple according to the number 7 = 161 \(\div\) 23 = 7

To learn more about multiplication and division, refer to the link-

https://brainly.com/question/28337146

#SPJ1

Answer:

The wheel completed a total of 212 turns.

Step-by-step explanation:

A wheel has a circular form, therefore its length is given by the following formula:

\(length = 2*\pi*radius\)

Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:

\(length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124\)

Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:

\(turns = \frac{1000}{4.7124} = 212.21\)

The wheel completed a total of 212 turns.

Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

Learn more about standard deviation here:

https://brainly.com/question/30014356

#SPJ11

Answer:

3.75

Step-by-step explanation:

Just divide 1.5 by 0.4

just ask your teacher for extra help if needed

Answer:

i don't know

Step-by-step explanation:

The length of the side parallel to the barn that will maximize the area of the pasture is 38 feet.

To find the length of the side parallel to the barn that maximizes the area of the pasture, we can use calculus. Let's denote the length of the side parallel to the barn as x. The other two sides of the rectangular pasture are perpendicular to the barn, so their lengths will be fixed.

Let's consider the area of the pasture as a function of x. The area, A, is given by A = x * (l - 2x), where l is the length of the barn.

To maximize the area, we can take the derivative of A with respect to x and set it equal to zero: dA/dx = l - 4x = 0.

Solving for x, we get x = l/4.

Substituting l = 150 feet into the equation, we find x = 150/4 = 37.5 feet.

To the nearest foot, the length of the side parallel to the barn that will maximize the area of the pasture is 38 feet.

To learn about rectangular areas here:

https://brainly.com/question/2607596

#SPJ11

The baker can get approximately 6.28 "perfect" slices out of one pie. By using the central angle of 1 radian as a basis, we can calculate the number of "perfect" slices that can be obtained from a pie.

Dividing the total angle around the center of the pie (360 degrees or 2π radians) by the central angle of 1 radian gives us the number of slices.

In this case, the baker can get approximately 6.28 "perfect" slices out of one pie. It is important to note that this calculation assumes the pie is a perfect circle and that the slices are of equal size and shape.

The central angle of 1 radian represents the angle formed at the center of a circle by an arc whose length is equal to the radius of the circle. In the case of the baker's pie, assuming the pie is a perfect circle, we can use the central angle of 1 radian to calculate the number of "perfect" slices.

To find the number of slices, we need to divide the total angle around the center of the pie (360 degrees or 2π radians) by the central angle of 1 radian.

Number of Slices = Total Angle / Central Angle

Number of Slices = 2π radians / 1 radian

Number of Slices ≈ 6.28

To know more about central angle, visit

https://brainly.com/question/10945528

#SPJ11

Step-by-step explanation:

21

The maximum value of Z = 8 is obtained at (2, 4).

We need to maximize the function Z = 2x1 + x2 subjected to the given constraints using a graphical method. In order to plot the graph, we need to find the values of x1 and x2 at the intersection points of the lines obtained from the given constraints. The lines obtained from the given constraints are: X1 + 2X2 = 10, or 2X2 = -X1 + 10, or X2 = -X1/2 + 5 (1), X1 + X2 = 6, or X2 = -X1 + 6 (2)X1 - X2 = 2, or X2 = X1 - 2 (3)X1 - 2X2 = 1, or 2X2 = -X1 + 1/2, or X2 = -X1/2 + 1/4 (4)

The vertices of the feasible region are found at the intersection points of the lines obtained from the given constraints: graph {2x1+x2 [-11.96, 12.04, -5.98, 6.02]X1 + 2X2=10 [-0.25, 10.75, -1.12, 6.38] X1 + X2 = 6. [-0.5, 6.5, 5.5, -0.5] X1 - X2 = 2 [-1.97, 2.03, -2.03, 1.97]X1 - 2x2=1 [-0.14, 0.14, -1.41, 1.43]} We can see that the feasible region is a bounded polygon with the vertices (0,0), (0.8, 5.2), (2, 4), (2, 3) and (1.25, 0.25). Next, we find the value of Z at each of these vertices, as shown in the table below: Points (X1, X2)Z = 2X1 + X2 (0,0) 0 (0.8, 5.2) 5.2 (2, 4) 8 (2, 3) 7 (1.25, 0.25) 2.75. Thus, the maximum value of Z = 8 is obtained at (2, 4). Therefore, the maximum value of Z is 8.

To know more about maximizing: https://brainly.com/question/30236354

#SPJ11

The expression is given as

Solve and simplify the expression by opening the brackets

Hence the answer is

The length of the ladder is given as 30.58 ft using Trigonometry.

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Distance is the measurement of an object's horizontal distance from a certain point, whereas height is the measurement of an object's height in the vertical direction.

Trigonometry includes heights and distances, and it has many uses in practical daily life. It is used to determine the distance between any two objects, including celestial bodies or other objects, as well as the height of towers, buildings, mountains, etc. Astronauts, surveyors, architects, and navigators are the main users.

The angle made by the ladder is 62°

Length of the ladder is x ft (say)

Height of the Electric Box is 27 ft

Now ,

sinθ = height of Electric box/ length of ladder

sin62° = 27/x

⇒x = 30.58 ft.

The length of the ladder is given as 30.58 ft using Trigonometry.

To learn more about Trigonometry refer to :

https://brainly.com/question/27615547

#SPJ1

The other state that joined the Union as a free state at the same time as Kansas was Minnesota.

Minnesota was admitted on May 11, 1858, and Kansas was admitted on January 29, 1861. Both states were admitted as free states as a result of the Compromise of 1850. The Compromise of 1850 was a series of laws that were passed in order to avoid a civil war over the issue of slavery.

The Compromise of 1850 included the admission of California as a free state, the admission of Utah and New Mexico as territories, and the Fugitive Slave Act. The Fugitive Slave Act required all citizens to return runaway slaves to their owners. The Fugitive Slave Act was very unpopular in the North, and it helped to fuel the abolitionist movement.

The admission of Minnesota and Kansas as free states upset the balance of power between the slave states and the free states. This led to increased tensions between the North and the South, and it eventually led to the Civil War.

Learn more about Union on

https://brainly.com/question/881501

#SPJ1

Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.

While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.

The answer is C.

To learn more about Heuristics : brainly.com/question/29793101

#SPJ11

Answer:

5w+15v-30

Step-by-step explanation:

Answer:

C. $452115.44

Step-by-step explanation:

To solve this, we will follow the steps below;

first write down the formula for  compound interest

A= P [ 1 + \(\frac{r}{n}\)]^nt

where A is the ending amount

P represent the principal

r represent the interest rate

n represent the number of compounding a year

t represent the time {in years)

from he question above

p= $318 000

r = 0.071

n = 4  since is quarterly

t= 5

we can now proceed to insert the values into the formula

A= P [ 1 + \(\frac{r}{n}\)]^nt

  =318 000 [1+\(\frac{0.071}{4}\)] ^4(5)

  = $318 000 [1+\(\frac{0.071}{4}\)] ^20

   =$318 000 [1+0.01775] ^20

    = $318 000 [1.01775] ^20

     =$318 000× 1.421747

      ≈$452 115.44

He will have $452 115.44 in the account

The height of the flagstaff by suing trigonometric ratios is found to be 27 m.

Given,

Height of the ladder, AD = 18 m

The distance to the point below the top of a vertical flagstaff where the ladder reaches, CD = 18m

Angle of elevation of flagstaff from the foot of the ladder, ∠ CAB = 60 °

Δ ACD is isosceles triangle.(Image is attached)

∠ ACB = ∠ CAD = 30 °

In △ ABD, by using the trigonometric ratios, we get that:

Sin 30 ° =  BD / AD

1 / 2 = BD / 18

BD = 9 m

So, the height of the flagstaff will be:

BC = BD + DC =9 + 18 = 27 m

Therefore, we get that, the height of the flagstaff by using trigonometric ratios is found to be 27 m.

Learn more about trigonometric ratios here:

https://brainly.com/question/24349828

#SPJ1

Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

Answer:

A.

Step-by-step explanation:

SAS:

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

ASA:

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

SSS:

if we can determine that the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

You can also apply the ASA postulate in this triangle but not the SAS.

To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication

Given data ,

Let the numbers be represented by the expression A

Now , the value of A is

A = √2 × 3√5

First, you can simplify each square root:

√2 = 1.4142 (rounded to 4 decimal places)

3√5 = 5.1962 (rounded to 4 decimal places)

Next, you can multiply the two simplified square roots and the whole number:

√2 × 3√5 = 1.4142 × 5.1962 × 3

= 22.3607 × 3

= 67.0821

Hence , the expression is A = √2 × 3√5 = 67.0821

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

x = −1/13 and y = 33/13 or 2 7/13

Step-by-step explanation:

x+2y=5

x+2(6x+3)=5

x+12x+6=5

13x+6=5

-6        -6

13x= -1

/13     /13

x= -1/13

y=6x+3

y=6(-1/13)+3

y= 33/13

y= 2 7/13

Mean = 0.8

Standard deviation = 2.45

It can be conclude that the probability of selecting more than 30% Beatles songs out of 40 randomly chosen songs is improbable, with only 0.42% of possible outcomes satisfying the condition.

We have, The proportion of the population that belongs to Beatles songs is p = 0.27.

The number of songs played by Paul is n = 40.

Since the value of n is greater than 30, then we can use the normal approximation to the binomial distribution.

The mean of the binomial distribution is

μ = np

⇒ 40 * 0.27 ⇒ 10.8.

The standard deviation of the binomial distribution is

σ = √(npq)

= √(40 * 0.27 * 0.73)

= 2.45.

The probability that more than 30% of the 40 randomly selected songs are Beatles songs, we need to calculate P(X > 0.3n) where X is the number of Beatles songs in the sample.

We use the normal distribution to make the approximation:

z = (0.3n - μ)/σ

= (0.3 * 40 - 10.8)/2.45 ⇒ 2.63.

The probability of getting a z-score of 2.63 or greater is equal to 0.0042.

Hence, the probability that more than 30% of the 40 randomly selected songs are Beatles songs is 0.0042.

Therefore, the conclusion is that the probability of more than 30% of the 40 randomly selected songs being Beatles songs is very low, with only 0.42% of the possible outcomes meeting that condition.

The mean is 10.8 and the standard deviation is 2.45

To know more about the "standard deviation": https://brainly.com/question/475676

#SPJ11

Answer:

Shown division using an area model above, Yes, shown 24 ÷ 4 with one rectangle above. Question 2. Answer: Shown division using an array as shown above, 25 ÷ 4 = Quotient = 6 and Remainder = 1, Shown division using an area model above, Yes, shown 25 ÷ 4 with one rectangle above and showed

The first equation will be x²-12x+27=(x-9)(x-3). The second equation will be x²-9x+20=(x-5)(x-4).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1. For the first equation to be complete, we need to expand the factors, therefore, we can write,

(x-9)(x-3)

= x² - 9x - 3x + 27

=x²-12x+27

Hence, the first equation will be x²-12x+27=(x-9)(x-3).

2. For the second equation to be complete, we need to factorise the left side of the equation, therefore, we can write,

x²-9x+2

= x²-5x-4x+20

= x(x-5)-4(x-5)

=(x-5)(x-4)

Hence, the second equation will be x²-9x+20=(x-5)(x-4).

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Answer:

Step-by-step explanation:

lern it yourself

a) The mass of acetic acid in the vinegar is 0.2175 g.

b) The accuracy of the vinegar analysis is -0.09%.

Exp:

a) To calculate the mass of acetic acid in the vinegar, we need to use the stoichiometry of the reaction and the volume and concentration of NaOH used.

The balanced equation for the reaction is:

HAC + NaOH -> NaAC + H2O

From the balanced equation, we can see that the stoichiometric ratio between acetic acid (HAC) and sodium hydroxide (NaOH) is 1:1.

The moles of acetic acid can be calculated using the equation:

moles of HAC = moles of NaOH

Using the volume and concentration of NaOH, we can calculate the moles of NaOH:

moles of NaOH = volume of NaOH (L) * concentration of NaOH (mol/L)

             = 0.03625 L * 0.10 mol/L

             = 0.003625 mol

Since the stoichiometric ratio is 1:1, the moles of acetic acid in the vinegar are also 0.003625 mol.

Now, we can calculate the mass of acetic acid using its molar mass:

mass of acetic acid = moles of HAC * molar mass of acetic acid

                  = 0.003625 mol * 60 g/mol

                  = 0.2175 g

Therefore, the mass of acetic acid in the vinegar is 0.2175 g.

b) To calculate the accuracy of the vinegar analysis, we can use the formula for accuracy:

Accuracy = (Measured value - True value) / True value * 100%

Measured value = 5.0% acidity

True value = 5.0045

Accuracy = (5.0 - 5.0045) / 5.0045 * 100%

               = -0.09%

The accuracy of the vinegar analysis is -0.09%.

Note: The negative sign indicates that the measured value is slightly lower than the true value.

Learn more about  accuracy from the given link

https://brainly.com/question/5792909

#SPJ11

Based on the given information, the value of x is 35.

What is proportion?

Proportion is a mathematical concept that describes the equality of two ratios. In other words, it is a statement that two ratios or fractions are equal. If we have two fractions, a/b and c/d, we can say that they are in proportion if:

a/b = c/d

Since the polygons are similar, their corresponding sides are proportional. This means that:

8/20 = 14/x

To solve for x, we can cross-multiply and simplify:

8x = 20 * 14

8x = 280

x = 35

Therefore, the corresponding dimension of the second polygon is 35.

To know more about proportion visit:

brainly.com/question/30241688

#SPJ1

A) The dependent variable is the number of squares Anne cuts the brownies into (S)

B) The independent variable is the number of people attending the potluck (P).

In this scenario, there are two variables: the number of squares Anne cuts the brownies into (S) and the number of people attending the potluck (P).

The dependent variable is the variable that is being measured or observed, and its value is affected by changes in the independent variable. In this case, the number of squares Anne cuts the brownies into (S) depends on the number of people attending the potluck (P). The more people attending, the more squares Anne will cut the brownies into. Thus, S is the dependent variable.

The independent variable, on the other hand, is the variable that is being manipulated or controlled by the experimenter. Anne can choose how many people to make the brownies for and, thus, how many squares to cut them into. Therefore, P is the independent variable.

Learn more about dependent variable here

brainly.com/question/17034410

#SPJ4

The given question is incomplete, the complete question is:

Anne baked a pan of brownies for a potluck. The number of squares she cuts the brownies into will depend on the number of people attending the potluck.

S=the number of squares Anne cuts the brownies into

P=the number of people attending the potluck

A) What is the variable  that represents the dependent variable?

B) What is the variable that represents the independent variable?

The proportional relationship is y = 3x.

What is the proportional relationship?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

Here, we have

Given:

x:  2, 6, 8, 10

y:  6, 18, 24, 30

We have to find the proportional relationship between x and y.

So, we can see from inspection and visual observation that there is a proportional relationship between x and y.

6 = 3  2,  18 = 3  6, 24 = 3  8, 30 = 3  10.

Hence, The proportional relationship is y = 3x.

To learn more about the proportional relationship from the given link

https://brainly.com/question/2143065

#SPJ1

Answer:

D: 101, 135, 131, 99, 138, 136, 140

Step-by-step explanation:

edg2020 (do not get this confused with the question: "which set contains no outliers"

D

I got it right on the test

=============================================

Work Shown:

(g-h)(x) = g(x) - h(x)

(g-h)(x) = (2x-4) - (x+2)

(g-h)(x) = 2x-4 - x - 2

(g-h)(x) = x - 6

(g-h)(-4) = -4 - 6

(g-h)(-4) = -10

--------------------

An alternative method:

g(x) = 2x-4

g(-4) = 2(-4)-4

g(-4) = -8-4

g(-4) = -12

h(x) = x+2

h(-4) = -4+2

h(-4) = -2

(g-h)(-4) = g(-4) - h(-4)

(g-h)(-4) = -12 - (-2)

(g-h)(-4) = -12 + 2

(g-h)(-4) = -10